14/26 added to 211/3 in Fraction Form

The result of 14/26 added to 211/3 is: 70 34/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1426 and 2113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1426 to 4278
Convert 2113 to 548678

Step 4: Add the Numerators

Add the numerators: 42 + 5486 = 5528

Step 5: Simplify the Fraction

We can simplify 552878 to its lowest form.
The greatest common divisor (GCD) of 5528 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 276439.

Step 6: Convert to Mixed Number

The fraction 276439 can be written as the mixed number 703439.

Final Answer

The result of 14/26 added to 211/3 is:

1426+2113=703439

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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